Student Solutions Manual for Basic College Mathematics

Description

• Structured, yet flexible, the updated learning path highlights author-created, faculty-vetted content — giving students what they need exactly when they need it.  The learning path directs students to resources such as videos and animations for just in time support.
• Just-in-Time Review modules at the beginning of the text and etext review the key topics from previous courses that are prerequisites for the new material in this course. Just-in-Time Review Videos in MyLab™ Math offer a concise presentation of each topic with additional examples.
• Skill Review, in nearly every section of the text and etext, reviews a previously presented skill at the objective level where it is key to learning the new material. In MyLab Math, Skill Review Videos, created by the authors, offer a concise, stepped-out solution for each Skill Review Exercise. 
• Interactive Animations, available in MyLab Math, allow students to examine visual representations of concepts through both guided and open-ended exploration to further solidify their understanding of these concepts.
• Chapter Opener applications with graphics in the text use current data and applications to present the math in context. These applications are linked to additional examples and exercises  in the text and MyLab Math course to help students model, visualize, and learn the math. 
• Check Your Understanding with Reading Check and Concept Check exercises at the beginning of each section exercise set gives students the opportunity to assess their grasp of the skills and concepts before they move on to the homework.
• Skill Builder offers adaptive practice that is designed to increase students’ ability to complete their assignments. By monitoring student performance on their homework, Skill Builder adapts to each student’s needs and provides just-in-time, in-assignment practice to help them improve their proficiency of key learning objectives.
• Student Activities begin with real-world data and guide students to examine a key concept in each chapter, while analyzing the data and connecting other concepts. There is one activity per chapter and they are available in MyLab Math and the printed MyMathGuide workbook.
• Interactive exercises in MyLab Math help build problem-solving skills and foster conceptual understanding. For the 13th Edition, increased coverage of skill-building, conceptual, and applications exercises, and new problem types provide even more flexibility when creating homework. Guided Solutions exercises have been added to reinforce the step-by-step problem-solving process, while the new Drag & Drop functionality was added  throughout the course to better assess a student’s understanding of the concepts.

• A library of pre-made developmental math questions is available in Learning Catalytics, helping instructors to start using this new engagement tool. Learning Catalytics is an interactive student response tool that uses students’ smartphones, tablets, or laptops to engage them in more sophisticated tasks and thinking.  

• Index of Applications
• Preface

1. Whole Numbers
   • 1.1 Standard Notation
   • 1.2 Addition
   • 1.3 Subtraction
   • 1.4 Multiplication
   • 1.5 Division
     • Mid-Chapter Review
   • 1.6 Rounding and Estimating; Order
   • 1.7 Solving Equations
   • 1.8 Applications and Problem Solving
     • Translating for Success
   • 1.9 Exponential Notation and Order of Operations
   • Summary and Review
   • Test
2. Fraction Notation: Multiplication and Division
   • 2.1 Factorizations
   • 2.2 Divisibility
   • 2.3 Fractions and Fraction Notation
   • 2.4 Multiplication and Applications
   • 2.5 Simplifying
     • Mid-Chapter Review
   • 2.6 Multiplying, Simplifying, and Applications
   • 2.7 Division and Applications
   • Translating for Success
   • Summary and Review
   • Test
3. Fraction Notation and Mixed Numerals
   • 3.1 Least Common Multiples
   • 3.2 Addition and Applications
   • 3.3 Subtraction, Order, and Applications
     • Translating for Success
   • 3.4 Mixed Numerals
     • Mid-Chapter Review
   • 3.5 Addition and Subtraction Using Mixed Numerals; Applications
   • 3.6 Multiplication and Division Using Mixed Numerals; Applications
     • Translating for Success
   • 3.7 Order of Operations, Complex Fractions, and Estimation
   • Summary and Review
   • Test
   • Cumulative Review
4. Decimal Notation
   • 4.1 Decimal Notation, Order, and Rounding
   • 4.2 Addition and Subtraction
   • 4.3 Multiplication
   • 4.4 Division
     • Mid-Chapter Review
   • 4.5 Converting from Fraction Notation to Decimal Notation
   • 4.6 Estimating
   • 4.7 Applications and Problem Solving
   • Translating for Success
   • Summary and Review
   • Test
   • Cumulative Review
5. Ratio and Proportion
   • 5.1 Introduction to Ratios
   • 5.2 Rates and Unit Prices
   • 5.3 Proportions
     • Mid-Chapter Review
   • 5.4 Applications of Proportions
     • Translating for Success
   • 5.5 Geometric Applications
   • Summary and Review
   • Test
   • Cumulative Review
6. Percent Notation
   • 6.1 Percent Notation
   • 6.2 Percent Notation and Fraction Notation
   • 6.3 Solving Percent Problems Using Percent Equations
   • 6.4 Solving Percent Problems Using Proportions
     • Mid-Chapter Review
   • 6.5 Applications of Percent
     • Translating for Success
   • 6.6 Sales Tax, Commission, and Discount
   • 6.7 Simple Interest and Compound Interest; Credit Cards
   • Summary and Review
   • Test
   • Cumulative Review
7. Data, Graphs, and Statistics
   • 7.1 Interpreting Data from Tables and Graphs
   • 7.2 Interpreting and Drawing Bar Graphs and Line Graphs
   • 7.3 Descriptive Statistics
     • Mid-Chapter Review
   • 7.4 Frequency Distributions and Histograms
   • 7.5 Probability
   • Translating for Success
   • Summary and Review
   • Test
   • Cumulative Review
8. Measurement
   • 8.1 Linear Measures: American Units
   • 8.2 Linear Measures: The Metric System
   • 8.3 Converting Between American Units and Metric Units
     • Mid-Chapter Review
   • 8.4 Weight and Mass; Medical Applications
   • 8.5 Capacity: Medical Applications
   • 8.6 Time and Temperature
   • 8.7 Converting Units of Area
   • Translating for Success
   • Summary and Review
   • Test
   • Cumulative Review
9. Geometry
   • 9.1 Perimeter
   • 9.2 Area
   • 9.3 Circles
     • Mid-Chapter Review
   • 9.4 Volume
   • 9.5 Angles and Triangles
   • 9.6 Square Roots and the Pythagorean Theorem
   • Translating for Success
   • Summary and Review
   • Test
   • Cumulative Review
10. Real Numbers
    • 10.1 The Real Numbers
    • 10.2 Addition of Real Numbers
    • 10.3 Subtraction of Real Numbers
      • Mid-Chapter Review
    • 10.4 Multiplication of Real Numbers
    • 10.5 Division of Real Numbers and Order of Operations
    • Translating for Success
    • Summary and Review
    • Test
    • Cumulative Review
11. Algebra: Solving Equations and Problems
    • 11.1 Introduction to Algebra
    • 11.2 Solving Equations: The Addition Principle
    • 11.3 Solving Equations: The Multiplication Principle
      • Mid-Chapter Review
    • 11.4 Using the Principles Together
    • 11.5 Clearing Fractions and Decimals
    • 11.6 Applications and Problem Solving
    • Translating for Success
    • Summary and Review
    • Test
    • Cumulative Review

• Answers
• Glossary
• Photo Credits
• Index

Foundation: Studying the Concepts

• Updated – Structured, yet flexible, the updated learning path highlights author-created, faculty-vetted content — giving students what they need exactly when they need it.  The learning path directs students to resources such as videos and animations for just in time support.

• New – Just-in-Time Review modules at the beginning of the text and etext review the key topics from previous courses that are prerequisites for the new material in this course. Just-in-Time Review Videos in MyLab Math offer a concise presentation of each topic with additional examples.
• New – Skill Review, in nearly every section of the text and etext, reviews a previously presented skill at the objective level where it is key to learning the new material. In MyLab Math, Skill Review Videos, created by the authors, offer a concise, stepped-out solution for each Skill Review Exercise. 
• New – Chapter Opener applications with graphics use current data and applications to present the math in context. These applications are linked to exercises in the text and MyLab Math course to help students model, visualize, and learn the math. 
• New – Student Activities begin with real-world data and guide students to examine a key concept in each chapter, while analyzing the data and connecting other concepts. There is one activity per chapter and they are available in MyLab Math and in the printed MyMathGuide.
• New – Interactive Animations, available in MyLab Math, allow students to examine visual representations of concepts through both guided and open-ended exploration to further solidify their understanding of these concepts.
• New – Bittinger-specific Learning Catalytics questions are now available. Learning Catalytics is an interactive student response tool that uses students’ smartphones, tablets, or laptops to engage them in more sophisticated tasks and thinking.

Application: Reinforcing Understanding

• New – Check Your Understanding with Reading Check and Concept Check exercises at the beginning of each section exercise set gives students the opportunity to assess their grasp of the skills and concepts before they move on to the homework.
• Margin Exercises give students frequent opportunities to apply concepts just discussed by solving problems that parallel the text Examples.
• Section Exercises, including Skill Maintenance, Synthesis, and real-data Applications, offer abundant opportunities for practice, review, and development of critical-thinking skills. 
• New – Guided Solutions exercises were added to MyLab Math to reinforce the step-by-step problem-solving process, while the new Drag & Drop functionality was applied to matching exercises throughout the course to better assess a student’s understanding of the concepts.

Retention: Carrying Success Forward

• New – Skill Builder offers adaptive practice that is designed to increase students’ ability to complete their assignments. By monitoring student performance on their homework, Skill Builder adapts to each student’s needs and provides just-in-time, in-assignment practice to help them improve their proficiency of key learning objectives.
• Mid-Chapter Review with Concept Reinforcement, Guided Solutions, Mixed Review, and Understanding through Discussion and Writing allows student to pause and actively review halfway through the chapter in the text and MyLab Math.
• Summary and Review is a comprehensive learning and review section at the end of each chapter with Vocabulary Reinforcement, Concept Reinforcement, Study Guide, Review Exercises, and Understanding through Writing and Discussion exercises. Chapter Tests, Chapter Test Prep videos, and Cumulative Review offer additional opportunities for review and reinforcement of skills and concepts in the text and MyLab Math.

Also available with MyLab Math 

MyLab™ is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab personalizes the learning experience and improves results for each student. Learn more about MyLab Math.

Reach every student with MyLab

• Deliver trusted content: You deserve teaching materials that meet your own high standards for your course. That’s why we partner with highly respected authors to develop interactive content and course-specific resources that you can trust — and that keep your students engaged. 
• Empower each learner: Each student learns at a different pace. Personalized learning pinpoints the precise areas where each student needs practice, giving all students the support they need — when and where they need it — to be successful.
• Teach your course your way: Your course is unique. So whether you’d like to build your own assignments, teach multiple sections, or set prerequisites, MyLab gives you the flexibility to easily create your course to fit your needs.
• Improve student results: When you teach with MyLab, student performance often improves. That’s why instructors have chosen MyLab for over 15 years, touching the lives of over 50 million students.

Marvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana University–Purdue University Indianapolis, and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled “Baseball and Mathematics.” His hobbies include hiking in Utah, baseball, golf, and bowling. In addition, he also has an interest in philosophy and theology, in particular, apologetics. Professor Bittinger currently lives in Carmel, Indiana with his wife Elaine. He has two grown and married sons, Lowell and Chris, and four granddaughters.

Judy Beecher has an undergraduate degree in mathematics from Indiana University and a graduate degree in mathematics from Purdue University. She has taught at both the high school and college levels with many years of developmental math and precalculus teaching experience at Indiana University–Purdue University Indianapolis. In addition to her career in textbook publishing, she spends time traveling, enjoying her grandchildren, and promoting charity projects for a children’s camp.

Barbara Johnson has a BS in mathematics from Bob Jones University and a MS in mathematics from Clemson University, and she is currently pursuing a PhD in Educational Studies at Ball State University. She has taught high school and college math for 30 years, and she enjoys the challenge of helping each student grow in appreciation for and understanding of mathematics. As a Purdue Master Gardener, she also enjoys helping others learn gardening skills. Believing that the best teacher is always learning, she is also a student of karate.

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